Given that \(y = 4 – 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).
- 9.0
- 0.9
- -0.3
-
-0.9
The correct answer is: D
Explanation
\(y = 4 - 9x\)
\(\frac{\mathrm d y}{\mathrm d x} = \frac{\Delta y}{\Delta x} = -9\)
\(\frac{\Delta y}{0.1} = -9 \implies \Delta y = -9 \times 0.1 = -0.9\)